Real and symmetric Springer theory

David Nadler

I'll present joint work with Tsao-Hsien Chen on the geometry of real and symmetric matrices. For classical groups, we use hyperkahler geometry to lift the Kostant-Sekiguchi correspondence to an equivariant homeomorphism. As an application, we show the homeomorphism matches the real Springer resolution with a nearby regular semisimple symmetric conjugacy class.

https://www.ias.edu/video/real-and-symmetric-springer-theory